A more general investigation for the longitudinal stress waves in microrods with initial stress

Abstract

In the present work, the propagation of longitudinal stress waves along a nanoscale bar with initial stress is investigated by using a unified nonlocal model with two length scale parameters. In principle, the analysis of wave motion is based on Love rod theory including the effects of lateral deformation. However, here are not ignored the contribution of shear stress components due to lateral deformations in the calculation of total elastic strain energy. By applying Hamilton's principle, the explicit general solution is obtained, and comparative results containing the different effects are presented and discussed.